Bifurcations behavior of bending vibrations of beams with two breathing cracks

被引：18

作者：

Avramov, K. ^{[1
]}

Raimberdiyev, T. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, A Podgorny Inst Mech Engn Problems, Dept Reliabil & Dynam Strength, 2-10 Dm Pozharskoho St, UA-61046 Kharkov, Ukraine

[2] Hoja Akhmed Yasawi Int Kazakh Turkish Univ, Turkistan, Kazakhstan

来源：

ENGINEERING FRACTURE MECHANICS | 2017年 / 178卷

关键词：

Euler-Bernoulli beam; Breathing crack; Sub-harmonic vibration; Quasiperiodic vibration; Continuation algorithm; NONLINEAR DYNAMIC-RESPONSE; EULER-BERNOULLI BEAM; OSCILLATIONS;

D O I：

10.1016/j.engfracmech.2017.04.006

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The lateral vibrations of the beams with two breathing cracks are considered. Two contact parameters are used to describe breathing of the cracks. The finite degrees of freedom non-linear dynamical system with two constraints is derived to describe the beam vibrations. These constraints describe breathing of the cracks. The continuation technique is applied to analyze numerically the periodic vibrations. The periodic motions, their stability and bifurcations are investigated. It is analyzed the sub-harmonic motions, which originate from the period-doubling bifurcations. The sub-harmonic motions undergo the Naimark-Sacker bifurcations. Therefore, these motions are transformed into the quasiperiodic ones. The influences of the cracks lengths on the sub-harmonic motions are investigated numerically. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：22 / 38

页数：17

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